CIVE 638 Fall 2022 Assignment 02 Solution
1. Acting force
|
Fa = (4/3) π
(ds /2)3 (γs
- γ)
| (1) |
|
Fa = (1/6) π
(ds)3 (γs
- γ)
| (2) |
2. Resisting force
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Fr = (1/2) ρ CD w 2
[π (ds /2)2]
| (3) |
|
Fr = (1/8) π (ds)2
(γ /g) CD w 2
| (4) |
3. Equating Eqs. 2 and 4 and solving for w :
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w = { (4/3) (g ds / CD )
[ (γs - γ ) / γ ] }1/2
| (3) |
|